llamaz

15 ms·

91.
by llamaz 8y ago
I've read parts of Halmos + Rudin, and I think that they would be a fast track to higher level pure math, but I've known people who've gone down such path and end up being able to prove Fubini's theorem using measure the
92.
by llamaz 8y ago
Do you need an alternative to criticise a measure? The alternative is to place less emphasis on IQ tests and focus on other qualities.
93.
by llamaz 8y ago
I was thinking about ordering one, but out of the Boox note and the sony devices, I ruled out the remarkable first. I can't remember why, but you can search reviews for yourself. I choose the boox note over the sony because it's m
94.
by llamaz 8y ago
different things work for different people, but personally I do hard drugs
95.
by llamaz 8y ago
There's a saying in math: Analysts understand what they're talking about but find it hard to proving things - while algebraists don't know what they're talking about but find it easy to prove things. I find this to be tr
96.
by llamaz 8y ago
I prefer thinking about group theory as the study of the symmetric group of order n. Then to make sense of the case of n = infinity, you introduce the group axioms. Eventually, you can justify the study of permutations using the fact that i
97.
by llamaz 8y ago
To add to what you said: In Australia the follow on course after second year analysis is a course on topology, metric spaces, and basic functional analysis. Here you learn about norms from an analysis point of view and its relationship to t
98.
by llamaz 8y ago
I didn't criticize the selection of content and the depth thereof. These aspects are well done.
99.
by llamaz 8y ago
This particular topic is something that all 19 year old electrical/mechatronic engineering students at my university in Australia learn, so it's probably a standard topic around the world (I think it's used to understand Fou
100.
by llamaz 8y ago
There is a divide between pure and applied math, one that arguable should be bridged, but the divide you talk about /within/ applied math seems artificial: Either you learn math properly, at least with regard to depth as opposed t
101.
by llamaz 8y ago
I'm not sure whose voting up such a technical paper. I could understand if the subject was control theory or robotics, but economics with engineering-level math seems out of most of our purviews. I'm not complaining - I'm hap
102.
by llamaz 8y ago
I think the calculus of variations might be a better approach to introducing ODEs in first year. You can show that by generalizing calculus so the values are functions rather than real numbers, then trying to find a max/min using the f
103.
by llamaz 8y ago
I don't know much about human biology, but if the relationship between dopamine/seratonin and depression/anxiety is more non-linear than linear, then the fact that both increasing and decreasing dopamine/seratonin is ef
104.
by llamaz 8y ago
Ah okay :) I misread you
105.
by llamaz 8y ago
The problem is that "youtube mathematics" focuses on Hilbert's hotel and Aleph Nought, while actual mathematics as it's taught in unversities barely mention these issues. Infinity simplifies mathematics _a lot_ in provin
106.
by llamaz 8y ago
Do you even study mathematics? You sound like a programmer with a passing interest in mathematics, because 99% of math books don't worry about issues like the axiom of choice or constructive math. The only ones that do are logic books.
107.
by llamaz 8y ago
This was the insight of the pre-Socratic philosopher Heraclitus: “No man ever steps in the same river twice, for it's not the same river and he's not the same man.”
108.
by llamaz 9y ago
You can export to LaTeX and hack the "template" (in the terminology of Jupyter) that defines how this conversion occurs. I used this as a starting point and modified it for my own purposes: http://blog.juliusschulz.de&#
109.
by llamaz 9y ago
Very interesting. Can I ask from which background you came to be interested in systems (e.g. biology or electrical engineering)?
110.
by llamaz 9y ago
I'm from Australia. My theory is that of the subset of people that are interested in both computer science and math, a significant portion use linux and if you use linux, then emacs is the best LaTeX editor (auctex and reftex are amazi
111.
by llamaz 9y ago
Rudin is a good reference book. It's not good to learn from, but if you're looking for the authoritatively _best_ proof, that cuts right to the heart of the problem, then Rudin is great. It's not good for self study, but I us
112.
by llamaz 9y ago
That's weird - I think Rudin is great and do everything through a terminal through emacs...
113.
by llamaz 9y ago
I don't care about the "student", I'm telling /you/ what convolution is. It's not the dot product. "yes you take a filter and sweep it across your input..." Sweeping across your input is the hear
114.
by llamaz 9y ago
it's not that simple. Have a look at my reply to the parent.
115.
by llamaz 9y ago
Discrete convolution definitely isn't the dot product. Given an n-tuple a and an m-tuple b, form a polynomial p_1 from the coefficients of a and a polynomial p_2 from the coefficients of p_2. The the convolution of a and b is the coeff
116.
by llamaz 9y ago
I tried that URL out. It works.
117.
by llamaz 9y ago
I agree with your example, and it's what I said. But you're right, I'm wrong. By my own reasoning, any large odd number is likely to be composite. I must have been tired when I wrote my reply.
118.
by llamaz 9y ago
That may have been how the author came up with a prime number, but any extremely large odd number is probably prime, since the primes get further and further apart as you go further along the number line. So it may have been a lucky guess.
119.
by llamaz 9y ago
There is a strong tradition of classical improvisation too - check out Alma Deutscher's youtube videos
120.
by llamaz 9y ago
why the article contradicts me and says the tea is "chay" in Hindi and Urdu. I'm not saying the articles wrong, but maybe there's something I'm missing

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